Questions: (-1/8 c+16)- (3/8+3 c)

(-1/8 c+16)- (3/8+3 c)
Transcript text: $\left(-\frac{1}{8} c+16\right)-\left(\frac{3}{8}+3 c\right)$
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Solution

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Solution Steps

To solve the given expression, we need to simplify it by combining like terms. This involves distributing any negative signs and then combining the coefficients of the same variable.

Step 1: Distribute the Negative Sign

First, distribute the negative sign in the second part of the expression: \[ \left(-\frac{1}{8}c + 16\right) - \left(\frac{3}{8} + 3c\right) = -\frac{1}{8}c + 16 - \frac{3}{8} - 3c \]

Step 2: Combine Like Terms

Next, combine the like terms. Combine the constant terms and the terms with \(c\): \[ -\frac{1}{8}c - 3c + 16 - \frac{3}{8} \]

Step 3: Simplify the Coefficients

Combine the coefficients of \(c\): \[ -\frac{1}{8}c - 3c = -\frac{1}{8}c - \frac{24}{8}c = -\frac{25}{8}c \]

Combine the constant terms: \[ 16 - \frac{3}{8} = \frac{128}{8} - \frac{3}{8} = \frac{125}{8} \]

Step 4: Write the Simplified Expression

Combine the simplified terms: \[ -\frac{25}{8}c + \frac{125}{8} \]

Final Answer

\[ \boxed{-\frac{25}{8}c + \frac{125}{8}} \]

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